名校
解题方法
1 . 如图所示是某斜拉式大桥图片,为了解桥的一些结构情况,学校数学兴趣小组将大桥的结构进行了简化,取其部分可抽象成图(1)所示的模型,其中桥塔
与桥面
垂直,通过测量得知
,当
为
中点时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/1/8eb65219-6da9-485d-9251-edfc6794b1eb.png?resizew=383)
(1)求
的长;
(2)设
,写出
与
的函数关系式;
(3)已知命题:函数
在
内为严格增函数;求证该命题为真命题,并用该命题求解
在线段
的何处时,
达到最大,最大值为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947a9e717f8bd9e2f5eb3ba8929932a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a3caf9045a08a8342c73496c4274cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1d0963bbe4d4d8eda2210585fc1d7d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/1/8eb65219-6da9-485d-9251-edfc6794b1eb.png?resizew=383)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8711eddf26d11fc974dfb6da4b640918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd459a6de5d294b1dfb95e596793f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)已知命题:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a869a76555f3369728f9005863bdb8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4138f6987cd2ee9e56b2ac80e84f9e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbf1667b21a273bf5dd007d65eeda7c.png)
您最近一年使用:0次
2023-03-30更新
|
621次组卷
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3卷引用:上海市金山中学2022-2023学年高一下学期3月素养检测(一)数学试题
上海市金山中学2022-2023学年高一下学期3月素养检测(一)数学试题上海市奉贤中学2022-2023学年高一下学期期中数学试题(已下线)专题12 寒假成果评价卷 -【寒假自学课】(沪教版2020)
名校
解题方法
2 . 王老师在做折纸游戏,现有一张边长为1的正三角形纸片ABC,将点A翻折后恰好落在边BC上的点F处,折痕为DE,设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/00ef4286-0b0b-432b-a949-5f845720850f.png?resizew=116)
(1)求x、y满足的关系式;
(2)求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c34eff4d793873d9e812d75d90fd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b9f48b80427d1ec649873cb6aac731.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/00ef4286-0b0b-432b-a949-5f845720850f.png?resizew=116)
(1)求x、y满足的关系式;
(2)求x的取值范围.
您最近一年使用:0次
名校
3 . 凸四边形就是没有角度数大于
的四边形,把四边形任何一边向两方延长,其他各边都在延长所得直线的同一旁,这样的四边形叫做凸四边形,如图,在凸四边形
中,
,
,
,
,当
变化时,对角线
的最大值为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/3b88bf3d-d381-460f-87bc-677580235264.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7a123c9cc0e058db28841fb0edcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf10d92f20501e19d25f6f4159aab89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212bfbd5575772ca36d6fc3e7b246e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/3b88bf3d-d381-460f-87bc-677580235264.png?resizew=150)
A.3 | B.4 | C.![]() | D.![]() |
您最近一年使用:0次
4 . 如图所示,某市拟在长为
道路
的一侧修建一条运动赛道,赛道的前一部分为曲线段
,该曲线段为函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d001d519e43cc87071be4f26417904.png)
的图像,且图像的最高点为
,赛道的后一部分为折线段
,且
.
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572135465951232/1572135471882240/STEM/7d5ea360edcb4945a64257ddb71bce87.png)
(1)求
、
两点间的直线距离;
(2)求折线段赛道
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b867769b949c2b031a3fe6d11667b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606933719a24e9a5e214600b772a093f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d001d519e43cc87071be4f26417904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6e25df9d973e6068467451ec20903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f15fbeccc8b7f96c015dcb76e425f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52173c8cc44246823c2bee21a783b731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d995a4c9c334ea912c7da5e7bbacc026.png)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572135465951232/1572135471882240/STEM/7d5ea360edcb4945a64257ddb71bce87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求折线段赛道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52173c8cc44246823c2bee21a783b731.png)
您最近一年使用:0次
2016-12-03更新
|
1047次组卷
|
2卷引用:2015届上海市闸北区高三下学期期中练习(二模)理科数学试卷